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Finding the Fourth Proportional to 1,409,712.78, 1,943,933.12 and 836,642.24

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Solution

The fourth proportional to 1,409,712.78, 1,943,933.12 and 836,642.24 is: 1,153,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,712.78 : 1,943,933.12 = 836,642.24 : x
  2. Step 2: Convert to fraction form
    1,409,712.78/1,943,933.12 = 836,642.24/x
  3. Step 3: Cross multiply
    1,409,712.78x = 1,943,933.12 × 836,642.24
  4. Step 4: Simplify right side
    1,409,712.78x = 1,626,376,550,207.32
  5. Step 5: Solve for x
    x = 1,626,376,550,207.32/1,409,712.78
  6. Step 6: Final answer
    x = 1,153,693.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.